I've included some general info below, as well as some (fairly dated now) Kinesis documents.
⦁ How does a blockchain work?
medium.com
medium.com
medium.com
medium.com
Note that the Kinesis blockchains for KAU and KAG have been updated fairly recently.
This means that they incorporate the more up to date Stellar features.
⦁ How does a blockchain work?
(The principles in here are good. Proof of work and 10 minute blocks are relevant to Bitcoin but not to the Stellar/Kinesis blockchains. Consensus is also different.)
⦁ Kinesis blockchainWhy the Kinesis Blockchain Network is forked from Stellar:

Why the Kinesis Blockchain Network is forked from Stellar
Following a number of prototypes and proof of concept builds, the Kinesis team determined that the most effective and fit-for-purpose…
An Insight into The Kinesis Blockchain:

An Insight Into The Kinesis Blockchain
With the Kinesis Velocity Token (KVT) currently in the final Pre-Sale phase prior to the Initial Token Offering, and the Kinesis Currency…
(Kinesis Blockchain Network and Kinesis Currency Network Security sections are the relevant sections)
⦁ Stellar and Kinesis consensus protocolHow the Stellar Consensus Model Works:
The Consensus Model and Trusted Notes in the Kinesis Blockchain Network:

The Consensus Model and Trusted Nodes in the Kinesis Blockchain Network
This article will give you a more detailed insight into the technical side of the Kinesis Monetary System.
Kinesis Blockchain Network leverages Cloud Technology to its full advantage:

Kinesis Blockchain Network leverages Cloud Technology to its full advantage
As the Kinesis team has designed and built out their Kinesis Cryptocurrency, the true objective and vision has remained front of mind; that…
Note that the Kinesis blockchains for KAU and KAG have been updated fairly recently.
This means that they incorporate the more up to date Stellar features.
- KAG network upgrade 9th July 2022
- KAU network upgrade 16th July 2022