Skip to main content

Train Courses Problems Proof Blocks Tools Progress Account

⌄

AccountSign-in, membership, and settings Current courseCalculus IThemeAbout ProofAnvilLoading account…

Problem library

Find a problem

Search by course or topic.

Loading the problem library…

TrainCoursesProblemsProgressMoreTrain Courses Problems Progress

More

Proof Blocks Tools Account

ProofAnvil Practice$19 USD monthly · cancel any time

Pricing FAQ Features Roadmap Use with your agent Support Terms Privacy Refunds

Practice problems with hints and solutions · ProofAnvil

Problem library

Find a problem

Search by course or topic.

Search problems

Filters · 2 active

Area

AllMathPhysics

SubjectCourseTopic

Topic choices for Signals and Systems are shortened. Search still covers every problem.

StatusSkill

Skills match the applied subject and course.

Problem styleFind a private labelPrivate labelPrivate labels are visible only to you.Private labels ready.Favorites

Browsing still works.Sign in to use progress, saved problems and private labels. Problem search and previews remain available.

Progress labels

IndependentSolved with helpIncorrect / unresolvedDraft in progressNot attemptedReview due

Problem results

Sort

ProblemsClear skill: State Stability Build a practice set

ProblemCourse & topicStatus

SIG:9926251Mathematical problem title

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926252A continuous-time harmonic oscillator…

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926253A causal continuous-time MIMO system with two inputs and two outputs is…

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926254Mathematical problem title

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926255A continuous-time SISO realization (A,B,C,D) with D=0 has the dual realization…

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926256A causal discrete-time SISO realization is…

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926257A Hurwitz matrix and an output row are…

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926258A controllable continuous-time pair in controller-companion form is…

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926259A controllable and observable continuous-time plant is…

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926260A causal discrete-time SISO pair in controller-companion form is…

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926261Two causal continuous-time SISO systems, each with a possibly nonzero feedthrough, are placed in negative feedback…

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926262Two first-order causal systems with a common pole are placed in parallel (shared input, summed outputs).

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926263Mathematical problem title

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926264A diagonalizable continuous-time generator is…

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926265A discrete-time system with a singular generator is…

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926266Mathematical problem title

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926267The linear constant-coefficient ODE…

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926268Three discrete-time delay/gain blocks are interconnected as follows, with n\in\mathbb{Z}_{\ge 0} and amplitudes in…

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926269A strictly proper continuous-time SISO realization is…

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926270Three causal continuous-time SISO realizations are interconnected as follows.

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926271Mathematical problem title

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926272Mathematical problem title

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926273Mathematical problem title

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

SIG:9926274Mathematical problem title

State StabilitySignals And Systems Problem Solving

State-space systems, causality, and stabilitySignals and Systems · Mixed review

—

Showing 24 of 50 matching problems.

Private labels

Edit private labels

Add labels that only you can see.

Problem

Current labels

Private labels are unavailable. Close this editor and try again.

New label

Use a short label.

The causal rational function

H(s)=\frac{3s+11}{s^2+7s+10},\qquad \operatorname{Re}s>-2

, is to be realized in…

A linear time-varying state equation

\dot{\mathbf{x}}(t)=A(t)\mathbf{x}(t)

on

t\ge 0

, with amplitudes in…

A real

2\times 2

generator with a complex-conjugate eigenpair is…

Two causal continuous-time SISO realizations are cascaded, with the output of

S_1

the input of

S_2

.

Use the bilateral Laplace transform

H(s)=\int_{-\infty}^{\infty}h(t)\,e^{-st}\,dt

with region of convergence…

Use the bilateral Laplace transform with causal ROC containing

\operatorname{Re}(s)\ge

0, the Fourier restriction…

Use the bilateral Laplace transform with causal ROC containing

\operatorname{Re}(s)\ge

0, the Fourier restriction…

Use the bilateral Laplace transform with causal ROC containing

\operatorname{Re}(s)\ge

0, the Fourier restriction…