On Minimality of Initial Data Required to Uniquely Characterize Every Trajectory in a Discrete -D System
M Mukherjee, D Pal - SIAM Journal on Control and Optimization, 2021 - SIAM
In this paper, we provide an essentially complete answer to the question of minimal initial
data required to solve an overdetermined system of linear partial difference equations with …
data required to solve an overdetermined system of linear partial difference equations with …
On characteristic cones of discrete nD autonomous systems: theory and an algorithm
M Mukherjee, D Pal - Multidimensional systems and signal processing, 2019 - Springer
In this paper, we provide a complete answer to the question of characteristic cones for
discrete autonomous n D systems, with arbitrary n\geqslant 2 n⩾ 2, described by linear …
discrete autonomous n D systems, with arbitrary n\geqslant 2 n⩾ 2, described by linear …
Bisimulation of strongly autonomous discrete nD systems
M Mukherjee, N Bajcinca - IFAC-PapersOnLine, 2023 - Elsevier
The notion of bisimulation is an important tool for analysis and synthesis of complex
dynamical systems. While the notion of bisimulation for systems described by ordinary …
dynamical systems. While the notion of bisimulation for systems described by ordinary …
On arbitrary assignability of initial conditions for an overdetermined system of partial difference equations
M Mukherjee, D Pal - 2020 European Control Conference …, 2020 - ieeexplore.ieee.org
In this paper, we provide an answer to the question of arbitrary assignability of trajectories
on a characteristic set which serve as initial conditions for an overdetermined system of …
on a characteristic set which serve as initial conditions for an overdetermined system of …
On constructing boundaries for boundary value problems defined by continuous 2-D autonomous systems
M Mukherjee, D Pal - IFAC-PapersOnLine, 2020 - Elsevier
In this paper, we provide a constructive way of specifying initial/boundary data for a given
continuous 2-D autonomous system described by a set of linear partial differential equations …
continuous 2-D autonomous system described by a set of linear partial differential equations …
Algorithms for specifying initial data for discrete autonomous nD systems
M Mukherjee, N Bajcinca, D Pal - IFAC-PapersOnLine, 2022 - Elsevier
For nD systems, initial data is obtained by specifying trajectories on special subsets of the
domain, known as characteristic sets. In this paper, we consider a special class of systems …
domain, known as characteristic sets. In this paper, we consider a special class of systems …
Computation of solutions for an overdetermined system of partial difference equations
M Mukherjee, D Pal - 2019 Sixth Indian Control Conference …, 2019 - ieeexplore.ieee.org
In this paper, we provide an implementable algorithm for computing solutions of a system of
linear partial difference equations (pdes) with real constant coefficients having n …
linear partial difference equations (pdes) with real constant coefficients having n …