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#18 State Transition Matrix for LTI systems | Linear System Theory
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Welcome to 'Introduction to Linear System Theory' course !
This lecture continues the discussion on the state transition matrix, extending it to forced systems, where the input is non-zero. It also introduces the state transition matrix for discrete-time systems.
For forced systems, the state transition matrix is used to compute the state trajectory, taking into account both the initial conditions and the input signal.
The lecture utilizes the Laplace transform for continuous-time systems and the z-transform for discrete-time systems to compute the state transition matrix and the system response.
It also highlights the similarities and differences between the state transition matrix for continuous-time and discrete-time systems
NPTEL Courses permit certifications that can be used for Course Credits in Indian Universities as per the UGC and AICTE notifications.
#StateTransitionMatrix #ForcedSystems #LaplaceTransform #DiscreteTimeSystems
This lecture continues the discussion on the state transition matrix, extending it to forced systems, where the input is non-zero. It also introduces the state transition matrix for discrete-time systems.
For forced systems, the state transition matrix is used to compute the state trajectory, taking into account both the initial conditions and the input signal.
The lecture utilizes the Laplace transform for continuous-time systems and the z-transform for discrete-time systems to compute the state transition matrix and the system response.
It also highlights the similarities and differences between the state transition matrix for continuous-time and discrete-time systems
NPTEL Courses permit certifications that can be used for Course Credits in Indian Universities as per the UGC and AICTE notifications.
#StateTransitionMatrix #ForcedSystems #LaplaceTransform #DiscreteTimeSystems
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